Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14523498 |
| Fitting | C22×D4×C131 ⋊ C2 |
| Sylow | C131 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30666306, #30666307, #30666309, … |
| maximal normal subgroup of | #30666306, #30666307, #30666309, … |
| maximal quotient of | C22×#16862166, C22×#16862167, C22×#16862179, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 1318);